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We reconsider the coupled wire construction, which is a useful method ofobtaining two and three-dimensional topologically ordered states from an arrayof one-dimensional CFTs, and show that there is the hidden structure in thebulk of the constructed model. In order to uncover the structure hidden in thegapped bulk, we introduce a generalized Wilson line and show the necessity ofintroducing a new gauge field, which behaves like the Chern-Simons gauge field.From these examination, it is possible to show that in this formulation thebulk theory is the U(1) Chern-Simons gauge theory and the edge theory is thechiral Luttinger theory. We explicitly demonstrate our method for the Laughlinstates and the chiral spin liquid state.

Bulk effective theory in coupled wire construction from generalized Wilson line